摘要
The article is considering the third kind of nonlinear Volterra-Stieltjes integral equations with the solution by Lavrentyev regularizing operator. A uniqueness theorem was proved, and a regularization parameter was chosen. This can be used in further development of the theory of the integral equations in non-standard problems, classes in the numerical solution of third kind Volterra-Stieltjes integral equations, and when solving specific problems that lead to equations of the third kind.
The article is considering the third kind of nonlinear Volterra-Stieltjes integral equations with the solution by Lavrentyev regularizing operator. A uniqueness theorem was proved, and a regularization parameter was chosen. This can be used in further development of the theory of the integral equations in non-standard problems, classes in the numerical solution of third kind Volterra-Stieltjes integral equations, and when solving specific problems that lead to equations of the third kind.
作者
Nurgul Bedelova
Avyt Asanov
Zhypar Orozmamatova
Zhypargul Abdullaeva
Nurgul Bedelova;Avyt Asanov;Zhypar Orozmamatova;Zhypargul Abdullaeva(Department of Mathematics and Information Technologies, Osh State University, Osh, Kyrgyzstan;Department of Mathematics, Kyrgyz-Turkish Manas University, Bishkek, Kyrgyzstan;Department of Economics and Management, Osh Technological University, Osh, Kyrgyzstan;Science and Research Department, Osh State University, Osh, Kyrgyzstan)
